Mathematical model of tumor growth with migration and proliferation dichotomy

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Mathematical model of infiltrative tumour growth taking into account transitions between two possible states of malignant cell is investigated. These transitions are considered to depend on oxygen level in a threshold manner: high oxygen concentration allows cell proliferation, while concentration below some critical value induces cell migration. Dependence of infiltrative tumour spreading rate on model parameters has been studied. It is demonstrated that if the level of tissue oxygenation is high, tumour spreading rate remains almost constant; otherwise the spreading rate decreases dramatically with oxygen depletion.

Keywords: tumor growth, proliferation and migration dichotomy
Citation in English: Kolobov A.V., Anashkina A.A., Gubernov V.V., Polezhaev A.A. Mathematical model of tumor growth with migration and proliferation dichotomy // Computer Research and Modeling, 2009, vol. 1, no. 4, pp. 415-422
Citation in English: Kolobov A.V., Anashkina A.A., Gubernov V.V., Polezhaev A.A. Mathematical model of tumor growth with migration and proliferation dichotomy // Computer Research and Modeling, 2009, vol. 1, no. 4, pp. 415-422
DOI: 10.20537/2076-7633-2009-1-4-415-422
According to Crossref, this article is cited by:
  • Dmitry Anatolievich Bratsun, Andrey Pavlovich Zakharov, Len M. Pismen. Multiscale mathematical modeling occurrence and growth of a tumour in an epithelial tissue. // Computer Research and Modeling. 2014. — V. 6, no. 4. — P. 585. DOI: 10.20537/2076-7633-2014-6-4-585-604
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